Numerical Solution of two-dimensional time-dependent Schro ̈dinger equations using Haar wavelet

Inderdeep Singh¹ , Sheo Kumar²

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.4 , pp.278-282, Aug-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.278282

Online published on Aug 31, 2018

Copyright © Inderdeep Singh, Sheo Kumar . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
An algorithm based on collocation points and two-dimensional Haar wavelet basis functions is developed for numerical solutions of two-dimensional time-dependent Schro ̈dinger equations. Error analysis of a proposed algorithm confirm the convergence of the present method. Numerical examples are performed to illustrate the accuracy of the proposed method.

Key-Words / Index Term :
Haar wavelet method; 2D time-dependent Schro ̈dinger equations; Operational matrices; Error analysis

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